513339649 has 9 divisors (see below), whose sum is σ = 520250913. Its totient is φ = 506519892.

The previous prime is 513339647. The next prime is 513339653. The reversal of 513339649 is 946933315.

The square root of 513339649 is 22657.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 513339649 - 2¹ = 513339647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513339647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3149242 + ... + 3149404.

It is an arithmetic number, because the mean of its divisors is an integer number (57805657).

Almost surely, 2^513339649 is an apocalyptic number.

513339649 is the 22657-th square number.

513339649 is the 11329-th centered octagonal number.

It is an amenable number.

513339649 is a deficient number, since it is larger than the sum of its proper divisors (6911264).

513339649 is an frugal number, since it uses more digits than its factorization.

513339649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its digits is 262440, while the sum is 43.

The cubic root of 513339649 is about 800.6971261965.

The spelling of 513339649 in words is "five hundred thirteen million, three hundred thirty-nine thousand, six hundred forty-nine".